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106175242716 = 223107131631229
BaseRepresentation
bin110001011100010001…
…0011010000111011100
3101011001112110011201220
41202320202122013130
53214421330231331
6120435355533340
710446056446404
oct1427042320734
9334045404656
10106175242716
114103517a384
12186b1a5a250
13a020ca4c0a
1451d3249804
152b6643b296
hex18b889a1dc

106175242716 has 48 divisors (see below), whose sum is σ = 251966816640. Its totient is φ = 34793287360.

The previous prime is 106175242709. The next prime is 106175242717. The reversal of 106175242716 is 617242571601.

It is a super-2 number, since 2×1061752427162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106175242717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147411 + ... + 483818.

It is an arithmetic number, because the mean of its divisors is an integer number (5249308680).

Almost surely, 2106175242716 is an apocalyptic number.

It is an amenable number.

106175242716 is an abundant number, since it is smaller than the sum of its proper divisors (145791573924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106175242716 is a wasteful number, since it uses less digits than its factorization.

106175242716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631474 (or 631472 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 106175242716 in words is "one hundred six billion, one hundred seventy-five million, two hundred forty-two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 107 131 214 262 321 393 428 524 642 786 1284 1572 14017 28034 42051 56068 84102 168204 631229 1262458 1893687 2524916 3787374 7574748 67541503 82690999 135083006 165381998 202624509 248072997 270166012 330763996 405249018 496145994 810498036 992291988 8847936893 17695873786 26543810679 35391747572 53087621358 106175242716